SOLUTION: Can you please give me the proper equation for (f o g)(3) given f(x) = 11x + 5 and g(x) = x2 + 8x?
Also, (g o f)(2), Given f(x) = 2x + 9 and g(x) = x2 + 7x.
Please keep in mi
Question 4808: Can you please give me the proper equation for (f o g)(3) given f(x) = 11x + 5 and g(x) = x2 + 8x?
Also, (g o f)(2), Given f(x) = 2x + 9 and g(x) = x2 + 7x.
Please keep in mind I have a math learning disability, so the simpler the explanation, the better I'll understand it. I'm 46 and if I don't pass this class, I don't graduate in May. :) Thanks for your help! Answer by rapaljer(4671) (Show Source):
You can put this solution on YOUR website! (f o g)(3) given and
(f o g)(3) means f[ g(3) ], so the first order of business is to find g(3). Go to the g(x) formula and substitute 3 for the x, giving you
g(3) = 9 + 24 = 33
Now, find f[ g(3) ] = f[ 33 ] = 11*33 + 5 = 3685
Second problem (g o f)(2), Given and
(g o f)(2) means g[ f(2) ], so you first have to find f(2) using the f(x) formula.
f(2) = 2*2 + 9 = 13
Now you have to find g(13) using the g(x) formula:
(g o f)(2) = g[ f(2) ] = g[ 13 ] = = 169 + 91 = 260
There really isn't a good way to check these without going to twice as much work as solving them to begin with. Such ugly answers! Sorry about that.
